{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "134e7f9d",
   "metadata": {},
   "source": [
    "# Demo 8: Checkpoint\n",
    "\n",
    "It is fun to play with KANs, just the same it is fun to play computer games. A common frustration in both games is that one did something wrong but cannot restore to the lastest checkpoint. We provide a quick way to save and load your checkpoint, so that you won't be frustrated and think that you need to start all over again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2075ef56",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save this model to ./model_ckpt/ckpt1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import KAN, create_dataset\n",
    "import torch\n",
    "import torch.nn\n",
    "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n",
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, base_fun=torch.nn.SiLU())\n",
    "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n",
    "dataset = create_dataset(f, n_var=2)\n",
    "\n",
    "model(dataset['train_input'])\n",
    "model.plot()\n",
    "model.save_ckpt('ckpt1')\n",
    "#model.clear_ckpts()\n",
    "# save intialized model as ckpt1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab90723b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.55e-01 | test loss: 1.30e-01 | reg: 2.03e+01 : 100%|██| 20/20 [00:12<00:00,  1.65it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save this model to ./model_ckpt/ckpt2\n"
     ]
    },
    {
     "data": {
      "image/png": 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sNlitVtSrVy+ijzVVBBdBEDBhwoSgnjdp0iRoNBpXcHE6nbUi0ATbZwAwfvx410ngcDgivq/cMcbwzDPPBP08JQ+w8mK327F161aMGDECnTt3xrp169C7d++gXmvixIkR3WdiQLFarbBarbDb7QAAnU4Ho9EY9OdXQ7+pYkAf4Dcf3DOwiF+Q0r+oYJSUlKBp06aoqqryK0C491m9evXgdDrhcDhc/038E4mcTqfruCorK0OLFi38PtYEQUB0dDSOHTuGBg0awGg0QqvVSt3ksLt48SJWrVqF7Oxs/PHHH7jnnnuQkZGBgQMHoqqqKqDzEwBiYmJw7ty5iLtLFgOK+EMWuHb+aLXaG84fWueiAPHx8cjNzYUgCDUGAo1GA0EQsH79+hu+AEEQXBdJQRAi+o6mXr16yMnJcX3m6nj2mSAI0Gq1MBgM0Ol0YIzBbre77mYihfuFQKPRQKfToX79+q5jzZ9+02g02LBhA5o0aQKn04nKykqYzeaIOJYYY9i3bx+eeOIJdOrUCQsWLEDv3r2xa9cubNmyBcOGDYPRaLzu/Kypz8Rz+MEHH4yYY8npdMJut7vuUBwOBzQaDfR6PYxGI/R6vdd+CaTfqruuKZJEK/8lk5eXx6Kjo72WR3CvwbN9+/aAXtfpdDKHw+H643Q6mdPplOhTSE/8PE6n0++6RTX1mdPpZDabjVksFmaxWJjNZlNtHzmdTma325nNZmN2u93r5wi23ywWCysrK2NlZWXMYrGE6yNxVVpaypYuXcq6dOnCGjVqxLp06cKWLl3KSktLq32ev3326aefsmeeeYaNHz+eXbx4MUyfii+Hw+E6H8xms+uccDgcAb9Wdf0m9l0w1zU5qS64MMbY8uXLWb9+/VhiYuJ1X0BSUhKbP38+KykpCen1xcDiGWzUwj2wiK5evcrmz5/PkpKSuPSZ3W5nVquVWSwWZrVagzqh5CJeFHwFFXfB9pvT6WRVVVWstLSUlZeXM5vNJsVH4e7IkSPs+eefZy1btmRNmjRhY8eOZXv37g3o+Pe3zy5fvswmTpzIxo0bx86fPy/VR+JKPHbMZnPIAcWTr35r3bo1e++990K+roWbasZcRE6nE6+99hruvfdeDBw4EMXFxSgvL0edOnVQv3597mMnYvcwj3EapY7RsP+m9ny1kf13jw1efSaOVYj5YjGvrMT+cW9noONHwfabw+GA2WyGw+GATqdDVFSU4satLBYLNm/ejMzMTOzfvx+NGzdGamoqRo8ejZtvvjno1/Wnz65evYqZM2eivLwcM2bMQPPmzUP9ONyJY4/isSOmsLRarSTHuXu/xcXFISoqypVaUxPVBZfjx4/jgw8+wPPPP49mzZqF9b2VHmhqCixSv7dSJwAwtzE1udpks9lgsVjgdDphMBhgNBplP27Onj2L7OxsrFq1ClevXkW3bt2Qnp6OBx98EDpd+PYRLCsrw8yZM1FcXIxXXnkFrVq1Ctt7eyMeL+4/RsQxSDl+OJnNZgBAVFRUWN83VKoLLmvWrMHp06cxbdo0WU9OX4HG/e9wt0euwOJJDDJie9wnUISTe1AR2yF331gsFlitVgDXLhbh/jXqcDiwe/duLF++HLt27ULdunXx2GOPIS0tDUlJSWFti7vKykrMmjULFy5cwPTp09GmTZuwvr+3gOL+A0nO48Zut8NisSAmJkb24zcQqgoudrsdM2bMQLdu3dCvXz+5m3Md8eIuCmegUVJgccfcZmIB4b2b8UzVKalfnE4nLBYLbDYbtFotoqKiJJ+6XFRUhNWrVyMrKwuFhYW46667kJ6ejsGDB4e8UpyXqqoqvP322zhz5gxeeukl3HbbbZK+n5IDijvGGEwmEwwGg6pSY6oKLkeOHMEnn3yCl156KaRcsNTCGWiUGlg8ebubkeKCKgY0IPBxlXBzH48Rp6zybC9jDD/++CMyMzOxefNmaDQaDBkyBOnp6bjrrru4vQ9PFosF77zzDv7zn//ghRdewB133MH19d3Tt+I5Kh4nSl6bJKZUlfJDwB+qCi5ZWVm4dOkSpk6dKndT/CZloFFLYHHn7W6Gx52FZwpMyRcKTzabzbUuxmg0wmAwhNQfFRUVyM3NRWZmJo4dO4bWrVsjPT0djz32mCrWR1itVsybNw9Hjx7F5MmT0alTp5Bez/2Ycw8o3hY1KpX4QyQ6Olo1bVZNcLFYLJgxYwb69u2LXr16yd2coPAMNO4DjWoJLO7cUxLuASGYE8fzjkit/WG1WmGxWKDRaIKaHXT8+HEsX74ca9euhclkQt++fZGRkYH7779fNRckkc1mw4IFC/DTTz9h0qRJ+Otf/xrQ893TXeI5Jx5fausLkclkgk6ng8FgkLspflFNcMnPz8eKFSswY8YMxRds80coM8/cf/VHgmCnM4cytVipnE4nzGYz7Ha7X+MxNpsNW7duRWZmJr799ls0atQIycnJSElJQZMmTcLYcv4cDgcWL16Mb7/9Fs888wy6du1a7eM9A4r7ZJJIODbUlhoL33zDEOXn56NVq1YREViA6+9a3AON+L99BZpICyzA/wKDez5cLJ/h7cKghKnFUtFoNIiJiYHdbofZbEZlZSX0ej2ioqKuOx7OnTvnmkZ8+fJldO7cGR999BEefvhhVQ36Vker1WL8+PHQ6/VYtGgRrFYrevbsed1jxGAijrNFWkBxp9PpYDabXaWKlE4VwcVkMuHXX3/FoEGD5G6KJPwNNJEYWNyJqTGtVuu6YNjt9uvSXe7jTEqbBcaTTqdDXFycK1VWUVEBvV6Pb7/9FpmZmfjyyy8RGxuLESNGID09He3atZO7yZLQaDR46qmnYDAY8OGHH8Jms6FPnz43LGoUj5tIPR6A/816tNvtqkiNqSK4HD58GE6nE3/+85/lborkfAUa8ZeZmgaqQ+F+NyOW/3c6ndBqtT6LAEYig8GAiooKrFy5EtnZ2Th79iw6dOiAd955B0OGDEFsbKzcTQyLtLQ0aDQafPzxx6isrMSAAQOg0+lUO8YWLJ1OR8GFpwMHDqBNmzaK33mNN/Gkcc8fe97RuP8dicTPKlZmBnDd3UykBlvGGA4ePIjMzExs2LABjDEMGjQI7733Hu644w5XqixSeVuDMnr0aERFReGzzz6D0+nE0KFDI/rY90ar1boqkyv92Fd8cCkvL0dBQQFGjBghd1Nk4T7IDVwfcNzvbCIt0FQ3ruKeZxfHZiIlJVJVVYUNGzYgMzMThw8fRvPmzfHCCy9g1KhRSEhIAADXeExFRYViSsnw4GtRo/sdysiRIxEVFYVPP/0UNpsNjz32WER8dn+JxzkFFw4OHjwIjUaDO++8U+6mhF11YyzuA/6RFGi8rVfx/ByeEwCcTidsNltI05nlduLECdc04rKyMvTu3RurVq1Cjx49briIiOMxYikZm83mWh+jNr4WNep0Op8Xz0cffRRGoxFZWVmwWq1ITU1V5bEeLLWkxhQfXPLz89G+fXvExMTI3ZSwCmTwPlICTaAlWzwnAIgbNonPV3o+3m63Y/v27cjMzMTXX3+N+vXrIy0tDSkpKWjRokWNzxcDitlshtlsdgWZcBadDIavRY3iHYo/xFlxH3/8MaxWK8aOHavo75onnU6nitSYoo/C4uJinDlzBikpKXI3JaxCmRWmxkDDY71KoNOZ5XThwgWsXLkSK1aswIULF3Dvvffi/fffx8CBAwP+NSr8d4tlMciYTCZJSsmESoo1KH369IHBYMCSJUtgtVrx1FNPKfpiy4vYZ+JaKKVSdHA5cOAA9Ho9OnToIHdTwobndGPPQCP+XdNamnCRomRLTdOZ5ToZGWPYu3cvMjMzsW3bNhiNRgwbNgzp6elcjm+tVovY2FhXKRn3VJlc33E4FjV269YNer0eCxcuhM1mw4QJExR9weVFq9W67tKVSvHBpUOHDjAajXI3RXJS1wkLdtGmVNxLtkg1GO85nVmOCQClpaVYu3YtsrKyUFBQgHbt2mHmzJkYNmwY6taty/399Ho9dDqda32M1WoNa2l/XxtrSXn32LlzZ+j1evzzn//EvHnz8Oyzz0bMQlJf1JAaU2z5l0uXLmH27NkYM2YM98qoSiP3Jl/ufwPSBhq5S7a45/qlnABw+PBhLF++HOvXr4fNZkP//v2Rnp6O++67L2zfcbhK+4d7p0ZfDh48iDlz5uC2227DlClTIv5HaVVVlasOnRIpNrjk5eXhq6++wptvvqn4AcpQKKmysZSBRmml8KXYntlisWDTpk3IzMxEfn4+mjRp4touuFGjRryaHjBxsymxtL9nKZlAeZsy7B6o5TyOjx49infeeQdJSUl48cUXI3otkM1mg9VqVexCWkUGF8YYZs+ejVatWmHUqFFyN0cySgosnnwFGve//X0dpe0G6c6zOnMwKZwzZ84gKysLa9aswdWrV9G9e3dkZGSgd+/eivphJKbKALjWx/hLLRtrAdeqQ8+ePRvNmzfHtGnTInamqbiJmFJnCCoyuBQWFmLu3Ll48skn0b59e7mbIwklBxZvgtkuQLwQKTGoeBPI9swOhwO7du1CZmYmdu/ejfj4eIwcORKpqalITEyUofX+YYy5xmI0Gg2ioqJ8Xpiq21hL6d/nyZMnMWvWLNx8882YPn16xFb3qKqqgiAIirxDU2Rw2bx5M77//nu88cYbsqdPpKC2wOKppkAj97hKqLxtaCb+uXz5smu74HPnzuGuu+5CRkYGBg8erMgT3Bf30v46nQ5RUVHXTX5Q88ZaorNnz2LmzJmIj4/HK6+8gnr16sndJO7E1FhMTIziriWKCy6MMbzxxhvo0KEDhg0bJndzuFN7YPHkuZZG/KPGi5E34sLM77//HtnZ2di6dSu0Wi2GDh2KtLQ0xW4X7C+73Q6TyeQKMuLUZbVvrCU6d+4c3nzzTURHR0fMXlDulJwaU9yRc+bMGZSUlIS8takSRVpgAf434O9ZCwy48Q5HbcrLy5GVlYU+ffpg6NChOHLkCF5++WXs378f7777Ljp27Ch3E4MmBk2n0+laD+NwOGCxWCAIQkCr5ZWsadOmeP3112G1WvH666/j8uXLcjeJK/GHgBLXvCjuziU3NxdHjx7Fq6++GjEXYCAyAwvge1wl3FOceTp27BiWL1+OdevWwWw2o1+/fkhPT0fXrl1d++qEYzozbzUtamSMuRZg1jQeozaXL1/Gm2++CbvdjldffRW33HKL3E3iRpwNqLTUmKKCi9PpxGuvvYZ77rkHjzzyiNzN4SYSA0sg4ypqCDRWqxVbtmxBZmYmvv/+ezRq1AgpKSlITk72uV2wFNOZeQtmDYrD4YDZbIbD4bhuPEbtiouLMXPmTJhMJrzyyito1qyZ3E3iQkyNGQwGRS0eVVRwOX78OD744ANMnjwZzZs3l7s5XERaYAm1ZIvSAk1hYaFru+CioiJ06dIFGRkZ6Nevn98nqvusKuD6CQByEINJqGtQbDaba992uUvJ8FJaWoqZM2eipKQEr7zyClq2bCl3k7gwm80AoKhJJYoKLmvWrMGpU6cwffp01R/EQGQFFinWq8gVaJxOJ/71r38hMzMTO3fuRGxsLB577DGkpaWhbdu2Ib+2v9OZeZFyDQpjzLU+RpzyqqRfx8EoLy/HW2+9hYsXL+Lll19GUlKS3E0KmRJTY4oJLna7HTNmzMADDzyAhx56SO7mhCySAkugpfCDwWvRZnWKi4uxZs0aZGVl4ezZs7j99tuRkZGBIUOGcF9o5206M8++C/eixnCVkgkXk8mE2bNn4/fff8dLL72k+vV0SkyNKSa4HD16FMuWLcOLL76o+sG2SAkscpZsCWbRpq/Xyc/Px/Lly7Fx40YwxjB48GBkZGSgU6dOYfl+POuZBVudWQmLGt3HY3iUkpGT2WzGP/7xD5w8eRIvvPACbr/9drmbFBIxhRkdHS13UwAoKLhkZ2fj4sWLmDp1qtxNCUkkBBallWwJJtCYTCbXdsFHjhxBixYtkJ6ejpEjR8q21sHbnUZNdzNKXdQolvYHAi8loyRWqxVz5szBL7/8gilTpqh63ZKYGouOjlbEBAxFBBer1YoZM2agT58+6N27t9zNCVokBBall2ypKdAUFBQgKysLn332GcrLy9GnTx+kp6ejR48eijjhgBvrmXlOZ/acMgxAkYsaPUvJGI1GxaRkAmGz2fDee+/hwIEDePbZZ/GXv/xF7iYFTdwsTgnfgyKCS35+PlasWIFXXnkFCQkJcjcnKDw3+ZKDGku2iIHGZrMhLy8PWVlZ+Oabb9CgQQMkJycjJSVF8bMO3bdnFoO65/oTpX8X7qVk1Doe43A4sHDhQnz//feYMGECOnfuLHeTgqKk1JgiVkgdOHAALVu2pMAiA8+V9Wr6DJ7bBf/1r3/FkiVL0L9/f1VMmxUDiziuJVY6CMcGWzxpNBrExMTAbrfDbDajsrLSlSpT+ncg0mq1mDhxIj744AMsWLAAVqsV3bt3l7tZAdPpdDCbzXA6nbIfO7IHF5PJhGPHjmHQoEFyNyUoag0s3tarqOFCwBjDN998g8zMTOTl5SEqKgrDhw9Heno6brvtNtdjxL/F/62UVKW3RY3itszuhT+Vsj1zIHQ6HeLi4lxTl923WlYDjUaDcePGQa/XY8mSJbBarXjwwQflblZAxOPIbrfL3u+yB5cjR47A6XSqciBNrYHFfVxFLUGlpKTEtV3wiRMncOutt2LWrFkYNmzYDeXU3cdhlBBovC1qFGt3eWuHErZnDoU4HdZiscBsNru2WlZDKRlBEDB27FgYDAYsW7bMtYuomoi1xmp9cMnPz0dSUpIk+4lLSY2BRY3jKocOHXJtF+xwONC/f3/MnTsXf/3rX/26yMoRaHytQakuoPhqu3hBFgOUzWZTRT0z9wWXFosFJpNJNaVkBEFAamoqDAYDsrOzYbFYMGTIELmb5TedTge73Q6HwyHrHa+swaW8vBwFBQUYPny4nM0ImNoCi9rGVcxms2u74AMHDqBJkyaYPHkyRo0ahYYNGwb9uv4EGve/A8EroPgips7cJwCI/67EWX0irVaLmJgYVymZiooKVYzHCIKAkSNHwmg04rPPPoPNZsOIESMU3WaReHdbq4PLwYMHIQgC7rzzTjmbERA1BRa1jaucPn3atV1wSUkJevbsiezsbPTu3Zv7SeIZSDz3pfEn0Pha1MgroHjjnjJznxCg9LsZcXqsOHXZZrOpopTMkCFDoNfrsXLlSlitViQnJyv6HBKJdy9ypsZkDS4HDhxA+/btERsbK2cz/KamwBKOki082O127Ny5E8uXL8eePXsQHx+PUaNGITU1Fa1btw5bO9zTY9UFGl+LGsO9/4n7RABvEwCUejcjDvCbzWZUVVW5xmOUPGFh4MCBMBgM+OSTT2C1WjFmzBhF9q07nU4Hm80m692LbMHl6tWrOH36NEaPHi1XEwKilsAiZ8mWQFy6dMm1XfD58+fRqVMnLFy4EIMGDZK9sqtnoPEckAfgCiZK6F/Puxn3CQBKaaM7QRAQHR3tCjKVlZXQ6/UwGo2Ka6uob9++MBgM+PDDD2G1WvHkk08qtq3A/44Jce2RHGQLLgcOHIBOp8Mdd9whVxP8pobAEmop/HBgjOG7775DZmYmtmzZAp1Oh6FDhyI9PV1xqVFvG2uJd4Dux4H7nY3carqbUdoxodVqERsb6yol4z51WSl96q5Hjx7Q6/VYvHgxrFYrxo8fr7g+dSf3DpWyBZf8/Hx06NBB0TWJ1FLOxb3EuxJTYOXl5Vi3bh2WL1+O48ePo02bNnj99dcxYsQI1KtXT+7muXhb1Ojr178SpjhXR03TmfV6PXQ63Q3rY5Q4HtO1a1fo9XrMnz8fdrsdEydOVGQ7AflTY7KUf7l06RJmz56NjIwMxf1iFakhsCh9avEvv/zi2i7YYrHgoYceQkZGBrp06aKYPg1mp0ZPStsAzRfP6sxKnACgllIy+fn5mDdvHjp06IDnn39e9jUlvlRVVbnqvoWbLMFl+/bt2LNnD2bOnKnIhVVKDyxKnlpstVrxxRdfIDMzEz/88ANuueUWpKSkYPTo0WjcuLHczfM6Zdj9Qhvq962GQKOG7ZnFUjJOp1Oxpf2PHj2Kd955B23btsULL7ygyCyMzWaD1WqVZdJU2IMLYwxvv/02WrZsiVGjRoXzrf2i5MCitFL47n7//XfXdsFXrlzB/fffj/T0dPTt21f2tEG4N9Zyf1/3vwH+G6CFwn0CACD/9szeiKkyAIosJfPrr7/i7bffRosWLTBt2jRFFIx053Q6UVVVBaPRGPYf8mEPLufOncOcOXPw5JNPKm73NyUHFqWWwr906RImT56MnTt3ok6dOvj73//OZbtgHjxTXuHeWMuTt+0ClPI9em7PrKSUmWdp/+joaEWlyk6cOIG33noLt9xyC6ZPn464uDi5m3SdqqoqV8WEcOISXLZv3+53yqOsrMy1xay/J5Z4a3ffffcF3LZAPp7nSu1ABPMc96mt/j42mBM+mOfMnTvXVQiyJiUlJYiKivK66tpsNvtcjV1cXIzk5OSA2iUuGPQHYwx2u93nTClfM70YY0HvFBnoY8N1rPnbb+IEgGDvYIJ5jsVi8et54lbLwUxZZowFfNeTk5ODFi1a+PXYyspK/Pbbb2jXrp3fx444S65Xr14BtQuAK9D6Q9zOIdDPzxgLKevA5T7pwoULAW3yFUiQOHfuHHJzcxEfHx90cHE/qao7qYP9FRnsdFRxzMQfNR2wvmaEBBLA3B0/fhwTJ04M6rmi9evXY+nSpWjTpg3ee++9G9o3bty4gINLIH0mCILPE0q8E/SWKgh2dk0gx0Gwx0soz/Wn3zynWvvLfcpzoMSaaf6MCwSbFhN3zQxEYWEhBg4cKMldUmlpKebMmYOGDRsGFVzEsSh/BNN+s9kMQRBCCi7c7nvF+fU8/2g0Gnz00Ue49957Q2qbZ/rBvbaU+N9C+cOjbaH8EX+Vin/zaJt4YAX75/jx45gyZQqeeeYZ/Prrr3j55ZdveIxcfQbANc7As894tlENbRL/8Misi3dMUrUxWHPmzAFwbVovzz8ffPABGjVqFFKfSdVX7qnkUCgjqepDfn4+HA4HunTpwuX1FLDpJnfuJUiUgjGGESNG4P/+7/8wePBg5OTkYNWqVa6BWaXQ6XRcTiJ3kXiM1YTHQlKDwaC44wO4doexfPlyrq/JGMPhw4fxxBNPcH1dXmw2G5fBf+VckTwwxrBmzRo8/vjjXH65eVvopvQLgTgAHEwuX0779u2DyWRCRkYGBEFAgwYN0LFjR8yYMUPupgGAaxxGxLPPeP2S9yTV98rjdXnsemgwGLgHeh6mT5+OL7/8kmv/W61WAFBsTcVAUm7VUWxw2bdvH6Kjo5GUlMT1dcXAovQA463irjfuazWUgDGGsWPH4p133rmuTZmZmVixYoUi+lscsJeyz5TwOWviXt4mVLz6Umn9Vq9ePeh0Opw5c4bba27evBmNGzdWzDnrDY+2KTK4MMawfv16PPHEE1wPWiV/mZ7EOxaNRlPtBcBzoFbuX3+VlZW4evXqDXv0NG7cGBqNBidOnJCpZdd460fedy5S4fna3qo7+3oczyDki1LPTUEQMGDAACxatIjba37++ecYO3Yst9fjKZRJI54UGVy+/fZbREdHo3nz5lxez9tJodSDGfjfCe2+1qC6oCF+FrGWlJxeeOEFdO7c+Yb+FQQB48aNk/2k8jx5NBqNa3CfF6lSYzyJ7dNqtdXeHbvXJvMWYHhejARBkKTQYqjfxdChQ1FYWMht4oLFYsGf/vSnkF9L6RQXXKS4axF5u+DJfRFwH1cR/3iuSdBqtX794pY7YDLGsGHDBixZssTrf586dSqOHz8ueZ+LfejtfcQ1HCIlBGQ5iNOtqztmxH7UarU+Jz/w7Du9Xu8aj+CFMQabzRbSa4jjDzwmHFRWVgJQ1gQcd+KUch4U9wm///57GI1Gvxcv+UPJFw/P0u7upTg8v2Rfn0PuoCK6dOkSAPicYmk0GhEXF4cdO3ZI1gbxYiJuBeztl7b7vP/aOO7ibXJLTXfGgiC49gdx/1yewToUer2ee1pXrLIcCkEQ0KRJE2zevDnk9mzcuBGtWrUK+XWkwmumGKCw4MIYQ05OTljuWjzfV07ukwu8VeT1NfnA152LXJ9n4sSJGDhwYLV9PW/ePEycODGkNlb3XPGuT6fT3TDTrqaxBV54H7s8U0/uxNfzdVcizqpzTyEC/wtEvKfBS9FvNpuNS72vMWPGcAku27dvR3p6esivIxXGWGQGl7179yI6OhotW7bk+rq+Dlol/OJ3r3clnsje2iUO7LvjMQWUF8YYvvrqK/zjH/+o9nEDBw5EWVkZLl68GPR7ieUsvLVBXHUvCIJrs6Tq0odKOAbCzdfdgbdA7H58iUFbvMvm/SOG948jm80W8iJKUYcOHWCxWEL+UWS1WnHrrbeG3B4pRVxazOl0YsOGDXjyySclOeGVeufiPjW6uhPB14mnlItjUVERBEFAfHx8tY8TBAHp6ekhbW/tLT0DXL/aXnycO5755JooYTzPF3GyiMjbsVXd3ZLY//6M2wSD58B5dHQ0n5lP/z2WKioqgn4Nk8l03WspDe87ZMV8ym3btuGmm25C06ZNub92dZ2llItzoKobf+GVty4tLfX7sc899xz69u3rV3+++eabGDduXNDtElOHNpvN1Q/udy0iz3ECX7f8YsmL2sTzexJnjYl8jaWIfSqWaJIiVcdjxpj72CUvbdq0wWeffRb083NzcxU93sL7x5AigovVasXOnTvx9NNPy3axD6ZjpUgN+OLvnQvPX8wDBgxw/dqqDmMMu3btctVhqolOp8PQoUODbpd4gRMvRIwx112Jt4umGHh88ZZy5IXXr3BeapoU4n5M+7owi/0vxdYF1c0Y83fNDWMMVVVV3DcYGzt2LPbs2RP083fs2IHHH3+cW3t4s9lsXIOx7MGFMYbly5ejffv2uOmmm8L+/qEefOFMfbhfBMMxc6xJkyZ46qmnanzclStXAAAJCQl+v3ao7XQftBcDjK+7EnGcQByL8SRFmiKcE1J4vJ77rDHP9GI46fV6n8e23W6HyWSCyWSC1Wr1+TjxroX35litWrXymo71hzi5gOc+R7yvPXa7nevGfrIHlwsXLuDXX39Fenq6alNU4eL+6zIcg/mffPIJduzYgaqqqmofN2nSJPTr1y/s358gXKvcrNFooNfrqx2v8hVYws1zTVO4VXeH5j5YL9dmXL6+I8YYzGYzoqKiEB0d7drjydsMyqqqKm5jLZ5t0+v1OHnyZMDPPXv2LPc0os1muy41zAPP713W4OJ0OvH+++9j0KBBsu4/7U8qydsFIdwXB8/UmLcDleeMm9jYWNx777148cUXfT5GTInNnTs35PcLhjgrrKZxtWAmS/Dga/Grv+/Fu001/SiRaizFX76+C3Hml9i+mJgYWK3W6wKMGIB8bQ7Hw6BBg7B48eKAn7do0SL079+fa1vEtVxms7naHw3i8VZTGSneZAsujDFs2bIFBoMB3bp1k6sZ16mu431dEMJ9Emq12rAWq8zMzMTatWt9HrzHjx+HTqeTJaWpdN4WwTL2v220AwkyPL9rf8ZS5Ob5I85z5pdGo0FMTIxrN0er1Qqz2QyHw4GYmBjJzo1HH30U58+fD+hizBjD77//fkO9vVAZjUZERUVBo9G4Aoxnv4npOLPZDLPZ7HM6tRRrqWQ7is6fP489e/bgmWeekT1dUdM0ZfeOlzOlIRJ/vVWHV/sSEhJQv359rF271ut/z8jIwHPPPSf7d8iDHIP6NR1L4RjMVxqtVut1UN8z6Il3MOLEDkEQJA0swLUxoZiYGHz33Xd+P+df//oX4uLigt5F0xfxR4rBYIBOp0NVVZVrDZh4V1NVVQWHwwG9Xu/KDlVVVXm9M+T9o0KW4FJVVYXFixdj8ODBqF+/vhxN8Kq6k8/9gHV/nBzjDDUNtvKcjiwIApYtW4aXXnrphv4xmUw4ffo0Jk2axOW95CTFjDHPY8b9rsWfAXOpV+YrlcFguK5ki9ls9pmq02g0MBqNiI6OhtFoDMtd16RJk7BkyRK/grXT6cSyZcswdepUydojjgUZjUZXmsxsNsNut8NgMCAqKgo6nQ5ardYVYDyne4uP5YnbN+HvryKr1YrFixejbdu2uP/++3m9fch8LSTzdUEQ/12JeJ9gf/vb38AYu+7XGmMMTz31FLp37859Vo4cfBUHDVV16S9v03+lpKY7F+B//WK32xEVFeXz8f4Ga146duwInU6H3bt3V/s4xhiWLl2KRo0aSb4qXxyPioqKuu6P50QWQRAQFRV1w1gVwP+6we3VduzYgVOnTqGqqspnaY6rV6/i/fffR3R0NFJTUxV7cQZ8n/DhPpBDwetiIggC5s6di7S0NNc0zxMnTuDLL7/Exx9/zOU9lELKC7C348bbHbF76pXnscazyKSU3IOueLwp6XwTBAHTp0/HsmXLcPLkyRuOGafTiaKiIixbtgz79+/H66+/Hpb2i8dKTWuQxMeI4y9S9TG3n5znz5/Hjz/+CL1ej+bNm6Nly5Zo1KgRoqOjYTabcerUKezbtw9JSUl47LHHZJvq6Et1ixSruyAokRTtGzp0KObOnYsXX3wRI0aMwJgxYzBt2jTExcVxfy85SDVjzPNXY3Xv63mXI8X3qIbgAlybFi0O0PNeDMlDUlISRo4ciVmzZmHAgAHo0KEDtFotLly4gIMHD+LYsWNo2rQpZs6cibp168rd3OuIdy8mkwkOhwMWi0WS2brcgktaWhoqKipw7tw5nDx5EocPH0ZZWZnr11KDBg0wdOhQdOjQgesqcn8E8l7ubZNyiqpIqtcWN8EK5aT0bNumTZvwxBNP4LnnnsPIkSMxfvx4WVItUr2nTqcLuf5YsIPznueErzE+HpSYHvNsU1RUFCorK117ycjV5ured8CAAWjevDny8vLw9ddfA7g2fb99+/aYNGkSEhMTJUu31tQ2fxiNRlitVtcEId7t5BJc4uLicPToUdf/b9GiBZo1awar1Qq73e4aSGKMXfe4QEhRc8yXQC8uUl2MQhXKr9T69etj27ZtN/x7RkYGKioqUL9+feTl5YXSPHTo0CGo50nZZ3LeUftzHAV7rLlPf5ZKKG3zVk/M1+BzMII5F+rWrYsff/yxxsd1797dtQlYVFQU9Ho9SkpKkJ+fX+Nzg601Jgh86uGJi4+9vVaod7kC43C0haPon5gnDFS4fvEEc2IpuW1SbDfrSRyEDISS+4zaFllto+taaD+cuQSXQFRWVuLkyZNo165dtTNA5CBlrpsHJc5QY4yhtLQUsbGxXOsS8SDWyVJauwBlH2viJmFKHJ8RV5pLUTQzFCaTCWfOnEGbNm24T+kNlVgiJtztCvvRU1RUhA0bNuCNN97AoUOHwv32NZJ7gaQv4qwOpbVtxowZuPPOO3HmzBm5m3Idu93uWiuhtD4TiRdKJQq2QKPUnE4nKisrFdVvdrsdb7zxhuJmTorlcHxVmZZa2INLy5YtMXXqVLRr1w7Lly/H2rVrZfvwnsKRl44kX331FZYuXYoZM2ZwrfYaCrHchcPhgE6nq7agpZzc0yE1lZAPN3FtRDhSo5EgNzcXv/32G8aPH6+YuxaHw+FaFhIVFSVLu8KeFhMxxvD9999j/fr1uOmmm5CWloYmTZrI0ZQbOJ1Oxa1lEe9c5Cwq6K6kpATdu3dHmzZtsHbtWkWkUJxOp6vAoU6nU0Sb/CHFmpZQieVD/Ck1FE4OhwOVlZWIjY1VRLsKCgowY8YMDB8+PKQ9iniyWq2w2WyuiVRyHVOynX2CIOBvf/sbnn/+eeh0OsybNw///ve/FfELLtCigrXRtGnTUFlZiQULFijiIi6mwTQaDQwGgyLa5C/3O2al3MWIlYWVmIpVCovFgkWLFiEpKQmDBw+Wuzlg7Np2AzabzVX2Rc4fK7KfgTfffDOee+45dO3aFRs2bMDSpUtD2qeaB0qPVW/Tpk1Yv3493n77bdnvNhljsFqt16XB1EhMkynph414l0zpMe9WrlyJ4uJijB8/Xva7KLFIJWMM0dHRijgPZEuLeXPs2DGsXr0agiBg9OjRktfjqYk4aKiEX8FKSYtduHAB3bp1wwMPPICPPvpI1rY4HA7Xokeljq0Ewz24yH3siWNYSkmPKSUtdvDgQcyePRuPP/44HnzwQdnaIf64stvt0Ol0MBgMijkPFBVcAKC8vByrVq3C8ePH0aNHD/Tv31/Wg0gp4y9KCC6MMYwcORK//PILvvrqK9n2cBGLGTqdTtcK7kjkvm+P3EFcnNIt93mghOBSXl6OqVOnokWLFpg2bZpsfeJ0Ol31wcSy+0qirNYAqFOnDp588kn861//wpYtW3DixAmkpKSgYcOGsrRHTFPIfVIpQVZWFvbs2YM1a9bIFljEgWYAri2OI5VGo5G81pg/xA3qeO+xrkaMMXz88cew2WwYN26cbN+JuM2zRqNxbRimNMprEa6dRD169MCkSZNgNpsxZ84c/PDDD7LkocWDR0nz6uVw8uRJvPbaa0hPT0fPnj1laYM4aC+mwZR4QvHmOdgvF7G+V20ff9m7dy++++47jB07VpYfWO5rV/R6PaKjoxV7HiguLebJYrFg/fr1+OGHH/DnP/8ZI0aMkGVlv9zpMTnTYna7HQMGDEBpaSl27dqFmJiYsL6/mPdnjLk2PaqN5E6TiXcvck7zljMtduXKFUyZMgWdOnXChAkTwvreAFwVjIFrddeUfh4oM+S5MRqNGDlyJFJTU3Hs2DG8++67sqwGr82zxxYsWIBDhw5h0aJFYQ8sDofDtcjWYDAo/oSSktyzycSSMOGouaU0jDG8//77iIqKwpgxY8L+/larFWazGRqNBtHR0ao4DxQfXER//vOfMXXqVNStWxcLFy7Ejh07wpomqK3psUOHDmHu3LmYNGkS7r777rC+t81mcy3kU9IsGDnJvSZGLM1e29JjeXl5OHr0KJ5++mnExsaG7X2dTqei1q4EQvFpMU9OpxPbt2/Hl19+icTERCQnJyM+Pj6s7y9HWkKOtJjZbEbv3r0RHR2NrVu3hm0wV0y/MMZqzdhKMORa2S9nekyOtNi5c+fw4osvolevXsjIyAjLewLX0tEWiwUajQZGo1F154G6Wotrt+YPPfQQnnnmGVy5cgXvvvsujhw5Erb3V9IiN6nNnDkTv/32GxYvXhy2wOI+aK+2lfbhJtdgv5geU2pxS54cDgcWLVqERo0aYdSoUWF5T8YYLBYLLBYLdDqdogftq6O+Fv9XUlISpk6dijZt2uCTTz7BunXrwlIAs7as3v/6669dRSnbtWsn+fuppeCk0shVAFMsbhnp4y/r16/H2bNnMX78eEm2AvYkFpwUt3cOx3tKRXVpMU+MMXz33XfYsGEDEhISkJKSEpaSJOFOj4UzLVZaWoru3bsjKSkpLEUp1VpwUmnCnSaTo7hlONNiJ06cwIwZMzB06FAMGzZM0vcClFNwkhfVn8WCIOC+++7D5MmTodFo8M9//hNff/215L/gIjk9Nm3aNFRUVISlKKWaC04qTbgH+yO5uKVYlDIxMRGPPvqopO+ltIKTvETMmXzLLbfgueeeQ+fOnbF+/XosW7ZM0gKYkZoe+/zzz5Gbm4vZs2dLegcYKQUnlSbcBTAjtbjlypUrceXKFcmLUiqx4CQvqk+LefPLL79g9erV0Gq1GD16tKRjBuEqbhmOtNjFixfxwAMP4P7778fSpUsle59ILTipNOEqgBnO4pbhSIsdOnQIb731FsaMGYO+fftK8h5KLjjJS0QGFwAoKyvDqlWrUFBQgB49euDhhx+W7GAMx/iL1MGFMYbRo0fjyJEj+Pe//y1JaYvaUnBSacKxsj9cxS2lDi4VFRWYMmUKmjdvjunTp0vyWcSCk06nE0ajMWLPg8j8VADq1q2Lp556Cnv27MGWLVtQUFCA1NRUNGjQgPt7RUJxy+zsbOzatQurV6+WJLDUpoKTShOOApiRUtxy2bJlsFqtkhWldC84qdYpxv6K3E+GaydRz5498eyzz6Kqqgpz5szBjz/+yD0PrfbV+6dOncJrr72GtLQ09OrVi/vr18aCk0oTjjUxai9uuXfvXuzbtw9jx45F/fr1ub62mgpO8hKxaTFPFosFubm5+PHHH9GpUycMHz6cewFMKdNjUqXF7HY7Bg4ciKtXr2L37t1ca4dRwUllkjJNJvXqfanSYleuXMHUqVNx1113YeLEidxeF1BfwUleIjt0ujEajRg1ahRSUlLwyy+/YM6cOTh79izX91Dj7LGFCxfi4MGDWLx4MdfAQgUnlUvK2WRqLG7JGMOSJUtgNBrx+OOPc31tNRac5KXWBBdRp06dMGXKFMTFxWHBggXYuXMntzSB2tJjhw4dwpw5czBx4kSuRSmp4KTySbkmRm3FLbdv344jR45g3Lhx3IpSqrngJC+1Ji3myeFwYPv27di5cyeSkpKQnJyMevXqcXltKdJjvNNiYlHKqKgobNu2jcsgLBWcVCcpVvZLlR7jnRaToiil2gtO8lI7PzWu/bp6+OGH8fTTT+Py5ct45513cPToUS6vrYbV+7NmzcLZs2fx/vvvcwksDoeDCk6qlBSD/WoobikWpWzYsCGXopSRUnCSl9r7yf+rTZs2mDp1KpKSkrBs2TLk5OTAZrOF9JpKX73/zTff4KOPPuJSlFIctBfTYLQoUp2kKICp9OKW69evx5kzZ7gUpXQvOGk0GlVdcJKXWpsW88QYw7fffosNGzagQYMGSE1NRePGjUN6TZ7pMV5pMbEoZWJiItatWxfSLysqOBmZeKbJeBe35JUW41mUMtIKTvJCV4P/EgQBnTt3xvPPPw9BEDBv3jx88803If2CU2J6bPr06SgvLw+5KCUVnIxcPAf7lVjcUixK2bp165CKUoprV2rzoH116Irg4ZZbbsHkyZNx3333ITc3F8uWLUNlZWVQr6W09NjmzZuRk5OD2bNno2nTpkG9BhWcrB14FsBUWnHLVatWhVyUUiw46XQ6ERUVReeBF5QWq8bPP/+MNWvWhFwAk0dxy1DTYmJRyq5du+Ljjz8O6jWo4GTtxKMAJq/ilqGmxQ4fPoxZs2YhIyMD/fr1C/j5taHgJC8UXGpQWlqK1atXo6CgAD179sRDDz0U1EEd6vhLKMFFLEp5+PBh/Pvf/w64tAUVnCRA6Cv7eRS3DCW4hFqUsrYUnOSFeqcG9erVw1NPPYXdu3dj69atKCgoQEpKSsAFMOUsbrlixQrs2rULK1euDDiwUMFJIgq1AKbcxS1DKUpZmwpO8kI95AdBENCrVy9MmjQJJpMJc+bMwf79+wN+DSD8q/dPnz6NV199FampqejTp09Az6WCk8RTqGti5CpuuW/fvqCKUtbGgpO8UFosQO4FMO+++24MGzYsoAKYwabHgkmL2e12PPLIIygqKsLu3bv9Lm1BBSeJP4JNk4Wyej+YtFhxcTGmTJmCjh07YtKkSQG9V20sOMkLpcUCJBbAbN++PdauXYszZ84gJSUFLVu29Ov54UyPLVq0CPn5+di8ebPfgcV90J4GK0l1gk2TuRe3DMcOrkuWLIHBYAioKCWtXQkd3d8FqVOnTpg6dSpiY2MDKoAZrvTY4cOH8e6772LChAm45557/HoOFZwkgQp2TUy4iltu374dhw8fxtNPP424uLgaH08FJ/mhtFiIHA4H8vLysGvXroAKYAaaHgskLWaxWNC7d28YjUa/ilJSwUnCQ6Ar+4NJjwWSFjt//jxefPFF9OjRA2PGjKnxtangJF/UeyHSarXo378/xo0bh8uXL+Pdd9/1qwCmlKv3Z82ahTNnzmDx4sU1BhYqOEl4CXSwX8rilmJRyoSEBIwePbrax1LBSWlQD3LStm1bTJ06Fa1bt/arAKZUq/f37t2LDz/8EC+//DJuvfVWn4+jgpNECoEWwJSquOWGDRtw+vTpGotSUsFJ6VBajDPGGPbt24eNGzeiYcOGSElJqbYApr/pMX/SYmVlZejWrRtat26NnJwcn7++qOAkCQd/02SBFLf0Jy128uRJvPLKKxgyZAiGDx/u87Vo0F5adFXhTBAEdOnSBZMnTwYAzJs3D3v37vX5C45neuzll19GeXk5Fi5c6DNgUMFJEi7+psl4FrcUi1K2atUKQ4YM8foYKjgZHnRlkUjjxo3x3HPP4W9/+xtycnLwySefeC2AySs99sUXX2Dt2rV46623vBalpIKTRA7+psl4FbdcvXo1Ll++7LMoJRWcDB9Ki4XB0aNH8emnn0Kn0yE5ORlt2rS54TE1FbesLi128eJFdOvWDZ07d8ayZctu+O9UcJIoQU0FMP0pblldWqymopQWi4UKToYRBZcwKS0txcqVK3Hy5En06tUL/fr1u+HkqG78xVdwYYwhOTkZhw4duqEoJRWcJEpU3cr+mopb+goulZWVmDJlCpo2bYqXX375uudSwUl5UC+HSb169TBu3Djs2bPnugKYCQkJrscEs3p/5cqV2Llz5w1FKangJFGq6lb2B1vcctmyZbBYLDcUpaSCk/Khng4jjUbjKoBZUVGBd999Fz/99JPrvwe6ev/MmTN49dVXkZycfF1RSio4SZSuusH+QItb7tu3D3v37sWYMWNcP9ao4KT8KC0mE7PZjNzcXOzfvx/33HMPhg0b5ppj75keY4yhqKgIpaWlqFevHho0aACn04lHHnkEly5dwp49exAbG0sFJ4kqeUuTeVu9zxjDpUuXcOnSJTRq1AiNGjXC1atXXUUpJ06c6FozQwUn5UfBRWb79+9HTk4O6tSpg5SUFLRo0cKVMigrK0NWVhYWLlyIkydPup6TlJSEO++8E/v27cPmzZtx77330qA9UTVva2LElfuVlZVez4PExES0b98ejRo1wsKFCxEXF0drVxSEgosCFBUVYcWKFSgsLMTDDz+Mnj17Ii8vD8OGDUNVVRUAeJ3CqdfrsXnzZvTs2ZMG7YnqeRuH2bJlC/7+979Xex5ERUVh/fr16N69O5xOJwwGA00xVgAKLgrhcDiwbds27N69GzabDe+//75fiys1Gg02btyI/v37U06ZRATxuN+xYwf69+9f43kg3u1s2LABAwYMoPNAISi4KMz+/fvRuXPnauuSuRMEAdHR0Th37hzi4+OlbRwhYXL16lU0a9YMVVVVfi0wFgQBMTExKCwspPNAISjEK8zevXv9DizAtV95VVVVyM7OlrBVhIRXdna234EFuHYemEwmOg8UhO5cFIQxhrZt2+LUqVMBlYMRBAGJiYkoKCigAUyienQeRAYKLgpSVFSEhg0bhvR890WZhKgRnQeRgdJiClJRURHS88vLyzm1hBD50HkQGSi4KIg/e3xXp06dOpxaQoh86DyIDBRcFCQhIQFJSUkB54sFQUBSUtJ1tcUIUSs6DyIDBRcFEQQBEyZMCOq5YukLQtSOzoPIQAP6ClNSUuKa3+9PAUux2ivN7yeRhM4D9aM7F4WJj49Hbm7udTv4+aLRaCAIAtavX08nFIkodB6oHwUXBerbty+2bNmC6Ohorxsqif8WHR2NrVu34sEHH5SppYRIh84DdaPgolB9+/ZFYWEh3nvvPSQmJl733xITE/Hee+/h3LlzdEKRiEbngXrRmIsKMMZQXFyM8vJy1KlTB/Xr16dBS1Lr0HmgLhRcCCGEcEdpMUIIIdxRcCGEEMIdBRdCCCHcUXAhhBDCHQUXQggh3FFwIYQQwh0FF0IIIdxRcCGEEMIdBRdCCCHcUXAhhBDCHQUXQggh3FFwIYQQwh0FF0IIIdxRcCGEEMLd/wMlKo6MTWHlMwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 500x400 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.train(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=10.);\n",
    "model.plot()\n",
    "model.save_ckpt('ckpt2')\n",
    "# save the trained model as ckpt2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b339ba4",
   "metadata": {},
   "source": [
    "The above results look promising! You probably want to further simplify it down by further training it or pruning it. Suppose you want to pump up regularization strengh to make the graph cleaner, but you set the strength to be too large and training messes the whole thing up."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0b580553",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 9.59e+00 | test loss: 8.56e+00 | reg: 3.16e+01 : 100%|██| 20/20 [00:01<00:00, 19.61it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save this model to ./model_ckpt/ckpt3\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.train(dataset, opt=\"Adam\", steps=20, lamb=100., lamb_entropy=10.);\n",
    "model.plot()\n",
    "model.save_ckpt('ckpt3')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4300604e",
   "metadata": {},
   "source": [
    "We want to recover to ckpt2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "705661e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.load_ckpt('ckpt2')\n",
    "model(dataset['train_input'])\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "686b8fb4",
   "metadata": {},
   "source": [
    "Now we realize that pruning it seems a better choice."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0598e1f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = model.prune()\n",
    "model(dataset['train_input'])\n",
    "model.plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
